Which of the following is the linear differential equation resulting from the solution of the equation 4xy' + (y')³ – y = 0 ? A) +p =p dx 4 B) +: x = x dp 3p dx 4 --x = -p 3p dp dx D) dp 4 Зр E) dp x =-p Зр

Q: Determine whether the differential equation is linear а. х- у 3D ху 1 b. y' = y c. y' = xy? = Vx d.…

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Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

A: To find which option is correct: We first find y' and y'' of  y = C1x3  +  C2 x and then we will…

Q: Identify whether the following differential equation is separable or linear. 2y x² +: Jax = (3–…

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Q: Which of the following most nearly gives the differential equation that is free of arbitrary…

A: The detailed solution is given below Thank you

Q: (2x + 3)y' = y +(2x + 3)/2; when x = –1, y = 0 %3D %3D

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Q: Consider the differential equation (1– v2)y' – ytanx = yv²tanx Which of the following is the linear…

A: Given(1-2) y1 - y tan x = y2 tan x —(I)(1-2) y2- y1 - y1-2 tan x = tan x —(II)Put       y1-2 = u…

Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: dy _ x²+xy dx x²+y?

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' =…

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: What is the differential equation obtained by eliminating the parameter A from the relation y = A+…

A: In this question, we need to find the differential equation which has the solution  y=A+ln(14x)18…

Q: y" - бу' + 9 %3 0 which of t equation? I. y = C1e3* + C2xe3*

A: Here we find the auxiliary equation.

Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

A: The solution is given as

Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

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Q: (e) y" – 4y' + 4y = 2x

A: To find the general solution

Q: Form the differential equation for the function 2xy= asin2x -bcos2x O a. xy" +2y' = – 4xy O b. xy"…

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Q: (x² - 2xy+3y-7)dx + (3x − x² + y³)dy = 0 (2y + 1)dx + (x + 2) dy = 0. y' + 5y = e-3x

A: 1) x2-2xy+3y-7dx+3x-x2+y3dy=0 solve the differential equation differential equation is of the form…

Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: Which one of the following is the Exact differential equation ? O (2? + 3ry)dy + (3 + )dz = 0 O (22…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: The indicial equation for the differential equation " +7y-5xy 0 is O A. (r+ 7) = 0 O B. P(7r - 1) =…

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Q: Use Variation of Parameters to find the general solution of the differential equation a'y" +a*y" -…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.